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Science 26 October 2001:
Vol. 294. no. 5543, pp. 823 - 828
DOI: 10.1126/science.294.5543.823
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Research Articles

A Four-Dimensional Generalization of the Quantum Hall Effect

Shou-Cheng Zhang, Jiangping Hu

We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitation in the bulk interior and gapless elementary excitations at the boundary are investigated.

Department of Physics, Stanford University, Stanford, CA 94305, USA. Center for Advanced Study, Tsinghua University, Beijing, China.

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THIS ARTICLE HAS BEEN CITED BY OTHER ARTICLES:
Dissipationless Quantum Spin Current at Room Temperature.
S. Murakami, N. Nagaosa, and S.-C. Zhang (2003)
Science 301, 1348-1351
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Science. ISSN 0036-8075 (print), 1095-9203 (online)